Two separate marketing teams, Team A and Team B, have each designed a 30 second advertisement for the new Cloak soft drink. The manager of marketing is interested to see if there is any difference between the effectiveness of the two ads. A random sample of 50 people are shown the ad from Team A and asked if they would definitely buy the new drink. In this sample, 15 people said that they would. A second random sample of 50 people are shown the ad from Team B and asked if they would definitely buy the drink. In this sample, 12 people said that they would. Let 11:1 denote the population proportion of people that would denitely buy the drink if they saw the ad from Team A. Let 1112 denote the population proportion of people that would definitely buy the drink if they saw the ad from Team B. A hypothesis test is conducted with the following hypotheses: H0: 'JIl = 11:2 HA: 'II1 g: 11:2 The level of significance used in this test is 0.05. You may nd this standard normal table useful. a) Calculate the test statistic (z) for this test. Give your answer to 2 decimal places. b) In this test the null hypothesis v rejected